English

Musing on Kunen's compact $L$-space

General Topology 2020-12-04 v1 Functional Analysis

Abstract

We present a connected version of the compact LL-space constructed by Kenneth Kunen under CH. We show that this provides a Corson compact space KK such that the Banach space C(K)C(K) is isomorphic to no space of continuous function on a zero-dimensional compactum.

Cite

@article{arxiv.2012.01849,
  title  = {Musing on Kunen's compact $L$-space},
  author = {Grzegorz Plebanek},
  journal= {arXiv preprint arXiv:2012.01849},
  year   = {2020}
}

Comments

11 pages

R2 v1 2026-06-23T20:42:04.177Z